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Finding the Third Proportional to 34,244,966 and 46,958,169

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Solution

The third proportional to 34,244,966 and 46,958,169 is: 64,391,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,244,966 : 46,958,169 = 46,958,169 : x
  2. Step 2: Convert to fraction form
    34,244,966/46,958,169 = 46,958,169/x
  3. Step 3: Cross multiply
    34,244,966x = 46,958,169 × 46,958,169
  4. Step 4: Simplify right side
    34,244,966x = 2,205,069,635,832,561
  5. Step 5: Solve for x
    x = 2,205,069,635,832,561/34,244,966
  6. Step 6: Final answer
    x = 64,391,059.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.